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Electro-convection about conducting particles

Published online by Cambridge University Press:  08 January 2008

EHUD YARIV
Affiliation:
Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Technion City 32000, Israel
TOUVIA MILOH
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel

Abstract

A perfectly conducting spherical particle is suspended within an electrolyte solution and is exposed to a uniformly applied electric field. Using a weak-field approximation, the electro-kinetic flow is analysed for arbitrary Debye-layer thickness, the commonly employed thin-layer model emerging as a special case. We identify a scalar property which quantifies the global strength of the quadrupolar flow structure.

Type
Papers
Copyright
Copyright © Cambridge University Press 2008

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References

REFERENCES

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions, 3rd edn. Dover.Google Scholar
Ajdari, A. 2000 Pumping liquids using asymmetric electrode arrays. Phys. Rev. E 61 (1), R45R48.Google Scholar
Bazant, M. Z. & Ben, Y. X. 2006 Theoretical prediction of fast 3D AC electro-osmotic pumps. Lab on a Chip 6 (11), 14551461.Google Scholar
Bazant, M. Z. & Squires, T. M. 2004 Induced-charge electrokinetic phenomena: Theory and microfluidic applications. Phys. Rev. Lett. 92 (6), 066101.Google Scholar
Ben, Y. X. & Chang, H. C. 2002 Nonlinear Smoluchowski slip velocity and micro-vortex generation. J. Fluid Mech. 461, 229238.Google Scholar
Brown, A. B. D., Smith, C. G. & Rennie, A. R. 2000 Pumping of water with ac electric fields applied to asymmetric pairs of microelectrodes. Phys. Rev. E 63 (1), 016305.Google Scholar
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.Google Scholar
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.Google Scholar
Murtsovkin, V. A. 1996 Nonlinear flows near polarized disperse particles. Colloid J. 58 (3), 341349.Google Scholar
Rubinstein, I. & Zaltzman, B. 2001 Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. Math. Mod. Meth. Appl. Sci. 11 (2), 263300.Google Scholar
Saintillan, D., Darve, E. & Shaqfeh, E. S. G. 2006 Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. J. Fluid Mech. 563, 223259.CrossRefGoogle Scholar
Saville, D. A. 1977 Electrokinetic effects with small particles. Annu. Rev. Fluid Mech. 9, 321337.Google Scholar
Shilov, V. N. & Simonova, T. S. 1981 Polarization of electric double-layer of disperse particles and dipolophoresis in a steady (DC) field. Colloid J. USSR 43 (1), 9096.Google Scholar
Simonov, I. N. & Dukhin, S. S. 1973 Theory of electrophoresis of solid conducting particles in case of ideal polarization of a thin diffuse double-layer. Kolloidnyi Z. 35 (1), 191193.Google Scholar
Simonova, T. S., Shilov, V. N. & Shramko, O. A. 2001 Low-frequency dielectrophoresis and the polarization interaction of uncharged spherical particles with an induced Debye atmosphere of arbitrary thickness. Colloid J. 63 (1), 108115.Google Scholar
Squires, T. M. & Bazant, M. Z. 2004 Induced-charge electro-osmosis. J. Fluid Mech. 509, 217252.CrossRefGoogle Scholar
Squires, T. M. & Bazant, M. Z. 2006 Breaking symmetries in induced-charge electro-osmosis and electrophoresis. J. Fluid Mech. 560, 65101.Google Scholar
Yariv, E. 2005 Induced-charge electrophoresis of nonspherical particles. Phys. Fluids 17 (5), 051702.CrossRefGoogle Scholar